Properties

Label 637.2.bl.b.53.14
Level $637$
Weight $2$
Character 637.53
Analytic conductor $5.086$
Analytic rank $0$
Dimension $348$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.bl (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(348\)
Relative dimension: \(29\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 53.14
Character \(\chi\) \(=\) 637.53
Dual form 637.2.bl.b.625.14

$q$-expansion

\(f(q)\) \(=\) \(q+(0.00745244 + 0.00508099i) q^{2} +(-2.32094 - 2.15352i) q^{3} +(-0.730652 - 1.86167i) q^{4} +(2.27283 - 0.701076i) q^{5} +(-0.00635467 - 0.0278416i) q^{6} +(-1.04784 + 2.42941i) q^{7} +(0.00802814 - 0.0351736i) q^{8} +(0.524933 + 7.00475i) q^{9} +O(q^{10})\) \(q+(0.00745244 + 0.00508099i) q^{2} +(-2.32094 - 2.15352i) q^{3} +(-0.730652 - 1.86167i) q^{4} +(2.27283 - 0.701076i) q^{5} +(-0.00635467 - 0.0278416i) q^{6} +(-1.04784 + 2.42941i) q^{7} +(0.00802814 - 0.0351736i) q^{8} +(0.524933 + 7.00475i) q^{9} +(0.0205003 + 0.00632351i) q^{10} +(-0.443633 + 5.91987i) q^{11} +(-2.31334 + 5.89430i) q^{12} +(-0.900969 + 0.433884i) q^{13} +(-0.0201528 + 0.0127810i) q^{14} +(-6.78489 - 3.26743i) q^{15} +(-2.93185 + 2.72036i) q^{16} +(3.33077 - 0.502032i) q^{17} +(-0.0316790 + 0.0548697i) q^{18} +(1.92716 + 3.33794i) q^{19} +(-2.96582 - 3.71903i) q^{20} +(7.66374 - 3.38198i) q^{21} +(-0.0333849 + 0.0418634i) q^{22} +(-1.91111 - 0.288054i) q^{23} +(-0.0943797 + 0.0643470i) q^{24} +(0.543070 - 0.370259i) q^{25} +(-0.00891898 - 0.00134432i) q^{26} +(7.94435 - 9.96191i) q^{27} +(5.28837 + 0.175674i) q^{28} +(-3.47129 - 4.35286i) q^{29} +(-0.0339622 - 0.0588243i) q^{30} +(-3.31108 + 5.73497i) q^{31} +(-0.107022 + 0.0161310i) q^{32} +(13.7782 - 12.7843i) q^{33} +(0.0273732 + 0.0131822i) q^{34} +(-0.678357 + 6.25626i) q^{35} +(12.6570 - 6.09529i) q^{36} +(-0.404808 + 1.03143i) q^{37} +(-0.00259798 + 0.0346676i) q^{38} +(3.02547 + 0.933234i) q^{39} +(-0.00641274 - 0.0855720i) q^{40} +(-1.30936 + 5.73668i) q^{41} +(0.0742974 + 0.0137354i) q^{42} +(-1.13741 - 4.98332i) q^{43} +(11.3450 - 3.49947i) q^{44} +(6.10395 + 15.5526i) q^{45} +(-0.0127788 - 0.0118570i) q^{46} +(0.460375 + 0.313878i) q^{47} +12.6630 q^{48} +(-4.80408 - 5.09125i) q^{49} +0.00592848 q^{50} +(-8.81164 - 6.00767i) q^{51} +(1.46604 + 1.36029i) q^{52} +(1.57254 + 4.00677i) q^{53} +(0.109821 - 0.0338753i) q^{54} +(3.14198 + 13.7659i) q^{55} +(0.0770389 + 0.0563598i) q^{56} +(2.71548 - 11.8973i) q^{57} +(-0.00375275 - 0.0500770i) q^{58} +(-7.46401 - 2.30234i) q^{59} +(-1.12549 + 15.0186i) q^{60} +(-4.20270 + 10.7083i) q^{61} +(-0.0538150 + 0.0259159i) q^{62} +(-17.5675 - 6.06456i) q^{63} +(7.20599 + 3.47022i) q^{64} +(-1.74357 + 1.61779i) q^{65} +(0.167638 - 0.0252674i) q^{66} +(-7.65560 + 13.2599i) q^{67} +(-3.36825 - 5.83398i) q^{68} +(3.81524 + 4.78416i) q^{69} +(-0.0368434 + 0.0431777i) q^{70} +(4.91424 - 6.16226i) q^{71} +(0.250596 + 0.0377713i) q^{72} +(10.6820 - 7.28285i) q^{73} +(-0.00825751 + 0.00562988i) q^{74} +(-2.05779 - 0.310162i) q^{75} +(4.80606 - 6.02661i) q^{76} +(-13.9169 - 7.28083i) q^{77} +(0.0178054 + 0.0223272i) q^{78} +(-0.935764 - 1.62079i) q^{79} +(-4.75643 + 8.23837i) q^{80} +(-19.0537 + 2.87188i) q^{81} +(-0.0389059 + 0.0360994i) q^{82} +(9.10579 + 4.38512i) q^{83} +(-11.8957 - 11.7963i) q^{84} +(7.21831 - 3.47616i) q^{85} +(0.0168437 - 0.0429170i) q^{86} +(-1.31730 + 17.5782i) q^{87} +(0.204662 + 0.0631297i) q^{88} +(-0.516222 - 6.88850i) q^{89} +(-0.0335333 + 0.146919i) q^{90} +(-0.110013 - 2.64346i) q^{91} +(0.860096 + 3.76833i) q^{92} +(20.0352 - 6.18003i) q^{93} +(0.00183611 + 0.00467832i) q^{94} +(6.72026 + 6.23549i) q^{95} +(0.283130 + 0.193035i) q^{96} +4.27784 q^{97} +(-0.00993349 - 0.0623517i) q^{98} -41.7001 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 348q + 3q^{2} + 31q^{4} + q^{5} - 4q^{6} + 27q^{7} - 12q^{8} + 13q^{9} + O(q^{10}) \) \( 348q + 3q^{2} + 31q^{4} + q^{5} - 4q^{6} + 27q^{7} - 12q^{8} + 13q^{9} - 5q^{10} + 2q^{11} - 40q^{12} - 58q^{13} - 45q^{14} - 14q^{15} + 27q^{16} - 12q^{17} - 59q^{18} - 24q^{19} - 99q^{20} - 2q^{21} - 10q^{22} - 14q^{23} + 28q^{25} + 3q^{26} - 9q^{27} - 37q^{28} - 26q^{29} - 83q^{30} - 49q^{31} + 33q^{32} + 2q^{33} - 130q^{34} - 38q^{35} - 74q^{36} - 4q^{37} + 92q^{38} + 24q^{40} + 20q^{41} - 52q^{42} + 2q^{43} + 226q^{44} - 23q^{45} + 71q^{46} + 24q^{47} + 86q^{48} + 25q^{49} + 114q^{50} - 54q^{51} + 31q^{52} + 36q^{53} + 75q^{54} + 38q^{55} + 126q^{56} + 27q^{57} - 33q^{58} + q^{59} - 179q^{60} - 15q^{61} + 158q^{62} - 5q^{63} - 24q^{64} + q^{65} - 150q^{66} - 151q^{67} + 140q^{68} - 98q^{69} - 126q^{70} - 31q^{71} - 149q^{72} - 9q^{73} + 39q^{74} + 85q^{75} - 81q^{76} + 46q^{77} - 25q^{78} - 69q^{79} - 64q^{80} + 71q^{81} - 52q^{82} - q^{83} - 47q^{84} + 62q^{85} + 97q^{86} + 150q^{87} - 12q^{88} + 23q^{89} + 107q^{90} - q^{91} - 43q^{92} + 316q^{93} - 86q^{94} - 29q^{95} + 177q^{96} + 114q^{97} - 336q^{98} + 102q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{21}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.00745244 + 0.00508099i 0.00526967 + 0.00359280i 0.565952 0.824438i \(-0.308509\pi\)
−0.560682 + 0.828031i \(0.689461\pi\)
\(3\) −2.32094 2.15352i −1.33999 1.24333i −0.945978 0.324230i \(-0.894895\pi\)
−0.394016 0.919103i \(-0.628915\pi\)
\(4\) −0.730652 1.86167i −0.365326 0.930836i
\(5\) 2.27283 0.701076i 1.01644 0.313531i 0.258611 0.965982i \(-0.416735\pi\)
0.757831 + 0.652451i \(0.226259\pi\)
\(6\) −0.00635467 0.0278416i −0.00259428 0.0113663i
\(7\) −1.04784 + 2.42941i −0.396045 + 0.918231i
\(8\) 0.00802814 0.0351736i 0.00283838 0.0124357i
\(9\) 0.524933 + 7.00475i 0.174978 + 2.33492i
\(10\) 0.0205003 + 0.00632351i 0.00648277 + 0.00199967i
\(11\) −0.443633 + 5.91987i −0.133760 + 1.78491i 0.378026 + 0.925795i \(0.376603\pi\)
−0.511786 + 0.859113i \(0.671016\pi\)
\(12\) −2.31334 + 5.89430i −0.667804 + 1.70154i
\(13\) −0.900969 + 0.433884i −0.249884 + 0.120338i
\(14\) −0.0201528 + 0.0127810i −0.00538605 + 0.00341586i
\(15\) −6.78489 3.26743i −1.75185 0.843647i
\(16\) −2.93185 + 2.72036i −0.732962 + 0.680090i
\(17\) 3.33077 0.502032i 0.807829 0.121761i 0.267874 0.963454i \(-0.413679\pi\)
0.539956 + 0.841693i \(0.318441\pi\)
\(18\) −0.0316790 + 0.0548697i −0.00746682 + 0.0129329i
\(19\) 1.92716 + 3.33794i 0.442120 + 0.765775i 0.997847 0.0655904i \(-0.0208931\pi\)
−0.555726 + 0.831365i \(0.687560\pi\)
\(20\) −2.96582 3.71903i −0.663179 0.831600i
\(21\) 7.66374 3.38198i 1.67237 0.738009i
\(22\) −0.0333849 + 0.0418634i −0.00711769 + 0.00892530i
\(23\) −1.91111 0.288054i −0.398494 0.0600633i −0.0532618 0.998581i \(-0.516962\pi\)
−0.345232 + 0.938517i \(0.612200\pi\)
\(24\) −0.0943797 + 0.0643470i −0.0192652 + 0.0131348i
\(25\) 0.543070 0.370259i 0.108614 0.0740518i
\(26\) −0.00891898 0.00134432i −0.00174916 0.000263643i
\(27\) 7.94435 9.96191i 1.52889 1.91717i
\(28\) 5.28837 + 0.175674i 0.999408 + 0.0331992i
\(29\) −3.47129 4.35286i −0.644603 0.808306i 0.346968 0.937877i \(-0.387211\pi\)
−0.991570 + 0.129571i \(0.958640\pi\)
\(30\) −0.0339622 0.0588243i −0.00620062 0.0107398i
\(31\) −3.31108 + 5.73497i −0.594688 + 1.03003i 0.398903 + 0.916993i \(0.369391\pi\)
−0.993591 + 0.113037i \(0.963942\pi\)
\(32\) −0.107022 + 0.0161310i −0.0189190 + 0.00285158i
\(33\) 13.7782 12.7843i 2.39847 2.22546i
\(34\) 0.0273732 + 0.0131822i 0.00469446 + 0.00226073i
\(35\) −0.678357 + 6.25626i −0.114663 + 1.05750i
\(36\) 12.6570 6.09529i 2.10950 1.01588i
\(37\) −0.404808 + 1.03143i −0.0665500 + 0.169567i −0.960280 0.279039i \(-0.909984\pi\)
0.893730 + 0.448606i \(0.148079\pi\)
\(38\) −0.00259798 + 0.0346676i −0.000421448 + 0.00562383i
\(39\) 3.02547 + 0.933234i 0.484463 + 0.149437i
\(40\) −0.00641274 0.0855720i −0.00101394 0.0135301i
\(41\) −1.30936 + 5.73668i −0.204488 + 0.895919i 0.763676 + 0.645600i \(0.223393\pi\)
−0.968163 + 0.250319i \(0.919465\pi\)
\(42\) 0.0742974 + 0.0137354i 0.0114643 + 0.00211942i
\(43\) −1.13741 4.98332i −0.173453 0.759949i −0.984560 0.175050i \(-0.943991\pi\)
0.811106 0.584899i \(-0.198866\pi\)
\(44\) 11.3450 3.49947i 1.71032 0.527565i
\(45\) 6.10395 + 15.5526i 0.909923 + 2.31845i
\(46\) −0.0127788 0.0118570i −0.00188414 0.00174822i
\(47\) 0.460375 + 0.313878i 0.0671526 + 0.0457839i 0.596431 0.802664i \(-0.296585\pi\)
−0.529278 + 0.848448i \(0.677537\pi\)
\(48\) 12.6630 1.82774
\(49\) −4.80408 5.09125i −0.686296 0.727322i
\(50\) 0.00592848 0.000838414
\(51\) −8.81164 6.00767i −1.23388 0.841243i
\(52\) 1.46604 + 1.36029i 0.203304 + 0.188638i
\(53\) 1.57254 + 4.00677i 0.216005 + 0.550372i 0.997271 0.0738260i \(-0.0235209\pi\)
−0.781266 + 0.624198i \(0.785426\pi\)
\(54\) 0.109821 0.0338753i 0.0149448 0.00460985i
\(55\) 3.14198 + 13.7659i 0.423664 + 1.85619i
\(56\) 0.0770389 + 0.0563598i 0.0102948 + 0.00753140i
\(57\) 2.71548 11.8973i 0.359675 1.57584i
\(58\) −0.00375275 0.0500770i −0.000492761 0.00657544i
\(59\) −7.46401 2.30234i −0.971731 0.299739i −0.232055 0.972703i \(-0.574545\pi\)
−0.739676 + 0.672963i \(0.765021\pi\)
\(60\) −1.12549 + 15.0186i −0.145300 + 1.93889i
\(61\) −4.20270 + 10.7083i −0.538101 + 1.37106i 0.360692 + 0.932685i \(0.382541\pi\)
−0.898793 + 0.438374i \(0.855555\pi\)
\(62\) −0.0538150 + 0.0259159i −0.00683451 + 0.00329132i
\(63\) −17.5675 6.06456i −2.21329 0.764062i
\(64\) 7.20599 + 3.47022i 0.900749 + 0.433778i
\(65\) −1.74357 + 1.61779i −0.216263 + 0.200663i
\(66\) 0.167638 0.0252674i 0.0206348 0.00311020i
\(67\) −7.65560 + 13.2599i −0.935281 + 1.61995i −0.161149 + 0.986930i \(0.551520\pi\)
−0.774132 + 0.633024i \(0.781813\pi\)
\(68\) −3.36825 5.83398i −0.408460 0.707474i
\(69\) 3.81524 + 4.78416i 0.459301 + 0.575946i
\(70\) −0.0368434 + 0.0431777i −0.00440363 + 0.00516072i
\(71\) 4.91424 6.16226i 0.583213 0.731326i −0.399444 0.916758i \(-0.630797\pi\)
0.982657 + 0.185432i \(0.0593683\pi\)
\(72\) 0.250596 + 0.0377713i 0.0295331 + 0.00445139i
\(73\) 10.6820 7.28285i 1.25023 0.852393i 0.256759 0.966475i \(-0.417345\pi\)
0.993471 + 0.114082i \(0.0363928\pi\)
\(74\) −0.00825751 + 0.00562988i −0.000959916 + 0.000654460i
\(75\) −2.05779 0.310162i −0.237613 0.0358144i
\(76\) 4.80606 6.02661i 0.551293 0.691299i
\(77\) −13.9169 7.28083i −1.58598 0.829727i
\(78\) 0.0178054 + 0.0223272i 0.00201606 + 0.00252806i
\(79\) −0.935764 1.62079i −0.105282 0.182353i 0.808572 0.588398i \(-0.200241\pi\)
−0.913853 + 0.406045i \(0.866908\pi\)
\(80\) −4.75643 + 8.23837i −0.531785 + 0.921078i
\(81\) −19.0537 + 2.87188i −2.11708 + 0.319098i
\(82\) −0.0389059 + 0.0360994i −0.00429644 + 0.00398652i
\(83\) 9.10579 + 4.38512i 0.999490 + 0.481329i 0.860765 0.509002i \(-0.169985\pi\)
0.138725 + 0.990331i \(0.455700\pi\)
\(84\) −11.8957 11.7963i −1.29792 1.28708i
\(85\) 7.21831 3.47616i 0.782936 0.377042i
\(86\) 0.0168437 0.0429170i 0.00181630 0.00462786i
\(87\) −1.31730 + 17.5782i −0.141230 + 1.88458i
\(88\) 0.204662 + 0.0631297i 0.0218170 + 0.00672965i
\(89\) −0.516222 6.88850i −0.0547194 0.730180i −0.955328 0.295548i \(-0.904498\pi\)
0.900608 0.434631i \(-0.143121\pi\)
\(90\) −0.0335333 + 0.146919i −0.00353472 + 0.0154866i
\(91\) −0.110013 2.64346i −0.0115325 0.277110i
\(92\) 0.860096 + 3.76833i 0.0896712 + 0.392875i
\(93\) 20.0352 6.18003i 2.07755 0.640839i
\(94\) 0.00183611 + 0.00467832i 0.000189380 + 0.000482532i
\(95\) 6.72026 + 6.23549i 0.689484 + 0.639747i
\(96\) 0.283130 + 0.193035i 0.0288968 + 0.0197015i
\(97\) 4.27784 0.434349 0.217174 0.976133i \(-0.430316\pi\)
0.217174 + 0.976133i \(0.430316\pi\)
\(98\) −0.00993349 0.0623517i −0.00100343 0.00629848i
\(99\) −41.7001 −4.19102
\(100\) −1.08610 0.740488i −0.108610 0.0740488i
\(101\) 2.58299 + 2.39667i 0.257017 + 0.238477i 0.798148 0.602461i \(-0.205813\pi\)
−0.541131 + 0.840938i \(0.682004\pi\)
\(102\) −0.0351433 0.0895437i −0.00347971 0.00886615i
\(103\) −0.850421 + 0.262320i −0.0837944 + 0.0258472i −0.336369 0.941730i \(-0.609199\pi\)
0.252575 + 0.967577i \(0.418723\pi\)
\(104\) 0.00802814 + 0.0351736i 0.000787224 + 0.00344905i
\(105\) 15.0474 13.0595i 1.46847 1.27448i
\(106\) −0.00863908 + 0.0378503i −0.000839102 + 0.00367635i
\(107\) 0.637242 + 8.50340i 0.0616045 + 0.822054i 0.939357 + 0.342940i \(0.111423\pi\)
−0.877753 + 0.479114i \(0.840958\pi\)
\(108\) −24.3504 7.51109i −2.34311 0.722755i
\(109\) 0.952103 12.7049i 0.0911949 1.21691i −0.744464 0.667663i \(-0.767295\pi\)
0.835659 0.549249i \(-0.185086\pi\)
\(110\) −0.0465290 + 0.118554i −0.00443636 + 0.0113037i
\(111\) 3.16075 1.52213i 0.300005 0.144475i
\(112\) −3.53677 9.97316i −0.334193 0.942375i
\(113\) −12.8463 6.18644i −1.20848 0.581972i −0.282396 0.959298i \(-0.591129\pi\)
−0.926080 + 0.377326i \(0.876844\pi\)
\(114\) 0.0806871 0.0748667i 0.00755704 0.00701191i
\(115\) −4.54558 + 0.685136i −0.423878 + 0.0638893i
\(116\) −5.56729 + 9.64283i −0.516910 + 0.895314i
\(117\) −3.51220 6.08330i −0.324703 0.562401i
\(118\) −0.0439269 0.0550826i −0.00404380 0.00507076i
\(119\) −2.27046 + 8.61785i −0.208133 + 0.789997i
\(120\) −0.169397 + 0.212417i −0.0154638 + 0.0193910i
\(121\) −23.9709 3.61303i −2.17917 0.328458i
\(122\) −0.0857292 + 0.0584492i −0.00776156 + 0.00529174i
\(123\) 15.3930 10.4948i 1.38794 0.946280i
\(124\) 13.0959 + 1.97389i 1.17604 + 0.177260i
\(125\) −6.44014 + 8.07567i −0.576023 + 0.722310i
\(126\) −0.100107 0.134456i −0.00891820 0.0119783i
\(127\) 3.20384 + 4.01749i 0.284295 + 0.356494i 0.903389 0.428822i \(-0.141071\pi\)
−0.619094 + 0.785317i \(0.712500\pi\)
\(128\) 0.144301 + 0.249936i 0.0127545 + 0.0220915i
\(129\) −8.09180 + 14.0154i −0.712443 + 1.23399i
\(130\) −0.0212138 + 0.00319747i −0.00186057 + 0.000280437i
\(131\) −16.5451 + 15.3517i −1.44556 + 1.34128i −0.609301 + 0.792939i \(0.708550\pi\)
−0.836255 + 0.548341i \(0.815259\pi\)
\(132\) −33.8672 16.3096i −2.94776 1.41957i
\(133\) −10.1286 + 1.18425i −0.878258 + 0.102687i
\(134\) −0.124426 + 0.0599206i −0.0107488 + 0.00517635i
\(135\) 11.0721 28.2114i 0.952938 2.42805i
\(136\) 0.00908159 0.121185i 0.000778740 0.0103916i
\(137\) 18.4336 + 5.68600i 1.57489 + 0.485788i 0.954425 0.298449i \(-0.0964694\pi\)
0.620461 + 0.784237i \(0.286946\pi\)
\(138\) 0.00412460 + 0.0550389i 0.000351109 + 0.00468522i
\(139\) 3.29491 14.4359i 0.279470 1.22444i −0.618995 0.785395i \(-0.712460\pi\)
0.898465 0.439045i \(-0.144683\pi\)
\(140\) 12.1427 3.30827i 1.02625 0.279600i
\(141\) −0.392560 1.71992i −0.0330595 0.144843i
\(142\) 0.0679335 0.0209547i 0.00570085 0.00175848i
\(143\) −2.16884 5.52610i −0.181367 0.462116i
\(144\) −20.5945 19.1089i −1.71621 1.59241i
\(145\) −10.9414 7.45969i −0.908630 0.619493i
\(146\) 0.116611 0.00965078
\(147\) 0.185866 + 22.1621i 0.0153299 + 1.82790i
\(148\) 2.21597 0.182151
\(149\) 11.0747 + 7.55063i 0.907279 + 0.618572i 0.924459 0.381280i \(-0.124517\pi\)
−0.0171809 + 0.999852i \(0.505469\pi\)
\(150\) −0.0137596 0.0127671i −0.00112347 0.00104243i
\(151\) −4.62766 11.7911i −0.376594 0.959546i −0.986009 0.166694i \(-0.946691\pi\)
0.609415 0.792852i \(-0.291404\pi\)
\(152\) 0.132879 0.0409876i 0.0107779 0.00332454i
\(153\) 5.26504 + 23.0677i 0.425653 + 1.86491i
\(154\) −0.0667214 0.124972i −0.00537656 0.0100705i
\(155\) −3.50489 + 15.3559i −0.281520 + 1.23342i
\(156\) −0.473191 6.31430i −0.0378856 0.505549i
\(157\) 21.6114 + 6.66624i 1.72478 + 0.532024i 0.989347 0.145574i \(-0.0465030\pi\)
0.735432 + 0.677598i \(0.236979\pi\)
\(158\) 0.00126149 0.0168335i 0.000100359 0.00133920i
\(159\) 4.97888 12.6860i 0.394850 1.00606i
\(160\) −0.231934 + 0.111694i −0.0183360 + 0.00883015i
\(161\) 2.70233 4.34104i 0.212974 0.342122i
\(162\) −0.156588 0.0754090i −0.0123028 0.00592469i
\(163\) 0.813945 0.755230i 0.0637531 0.0591542i −0.647653 0.761936i \(-0.724249\pi\)
0.711406 + 0.702781i \(0.248059\pi\)
\(164\) 11.6365 1.75392i 0.908658 0.136958i
\(165\) 22.3528 38.7161i 1.74016 3.01404i
\(166\) 0.0455796 + 0.0789462i 0.00353767 + 0.00612742i
\(167\) 3.81624 + 4.78541i 0.295309 + 0.370306i 0.907246 0.420601i \(-0.138181\pi\)
−0.611937 + 0.790907i \(0.709609\pi\)
\(168\) −0.0574308 0.296712i −0.00443088 0.0228919i
\(169\) 0.623490 0.781831i 0.0479608 0.0601409i
\(170\) 0.0714564 + 0.0107703i 0.00548045 + 0.000826046i
\(171\) −22.3698 + 15.2515i −1.71066 + 1.16631i
\(172\) −8.44625 + 5.75855i −0.644020 + 0.439086i
\(173\) 2.22643 + 0.335580i 0.169272 + 0.0255137i 0.233131 0.972445i \(-0.425103\pi\)
−0.0638592 + 0.997959i \(0.520341\pi\)
\(174\) −0.0991318 + 0.124307i −0.00751516 + 0.00942372i
\(175\) 0.330462 + 1.70731i 0.0249806 + 0.129061i
\(176\) −14.8035 18.5630i −1.11586 1.39924i
\(177\) 12.3654 + 21.4175i 0.929439 + 1.60983i
\(178\) 0.0311533 0.0539591i 0.00233504 0.00404440i
\(179\) −21.1462 + 3.18727i −1.58054 + 0.238228i −0.879854 0.475244i \(-0.842360\pi\)
−0.700684 + 0.713472i \(0.747122\pi\)
\(180\) 24.4940 22.7271i 1.82567 1.69398i
\(181\) 14.0330 + 6.75794i 1.04307 + 0.502314i 0.875334 0.483519i \(-0.160642\pi\)
0.167731 + 0.985833i \(0.446356\pi\)
\(182\) 0.0126115 0.0202592i 0.000934829 0.00150171i
\(183\) 32.8147 15.8027i 2.42574 1.16817i
\(184\) −0.0254745 + 0.0649081i −0.00187801 + 0.00478509i
\(185\) −0.196947 + 2.62808i −0.0144799 + 0.193220i
\(186\) 0.180712 + 0.0557421i 0.0132504 + 0.00408721i
\(187\) 1.49433 + 19.9404i 0.109276 + 1.45819i
\(188\) 0.247964 1.08640i 0.0180847 0.0792341i
\(189\) 15.8772 + 29.7386i 1.15489 + 2.16316i
\(190\) 0.0183999 + 0.0806152i 0.00133487 + 0.00584844i
\(191\) −2.98741 + 0.921493i −0.216161 + 0.0666769i −0.400944 0.916102i \(-0.631318\pi\)
0.184783 + 0.982779i \(0.440842\pi\)
\(192\) −9.25148 23.5724i −0.667668 1.70119i
\(193\) −1.27942 1.18713i −0.0920949 0.0854516i 0.632782 0.774330i \(-0.281913\pi\)
−0.724877 + 0.688878i \(0.758103\pi\)
\(194\) 0.0318803 + 0.0217356i 0.00228888 + 0.00156053i
\(195\) 7.53066 0.539282
\(196\) −5.96813 + 12.6635i −0.426295 + 0.904539i
\(197\) −18.4986 −1.31797 −0.658984 0.752157i \(-0.729013\pi\)
−0.658984 + 0.752157i \(0.729013\pi\)
\(198\) −0.310767 0.211878i −0.0220853 0.0150575i
\(199\) 13.2490 + 12.2933i 0.939198 + 0.871448i 0.991882 0.127163i \(-0.0405871\pi\)
−0.0526839 + 0.998611i \(0.516778\pi\)
\(200\) −0.00866349 0.0220742i −0.000612601 0.00156088i
\(201\) 46.3236 14.2889i 3.26741 1.00786i
\(202\) 0.00707216 + 0.0309852i 0.000497596 + 0.00218011i
\(203\) 14.2122 3.87210i 0.997503 0.271768i
\(204\) −4.74607 + 20.7939i −0.332292 + 1.45586i
\(205\) 1.04589 + 13.9565i 0.0730484 + 0.974763i
\(206\) −0.00767055 0.00236605i −0.000534433 0.000164851i
\(207\) 1.01454 13.5381i 0.0705152 0.940960i
\(208\) 1.46119 3.72304i 0.101315 0.258146i
\(209\) −20.6151 + 9.92771i −1.42598 + 0.686714i
\(210\) 0.178495 0.0208699i 0.0123173 0.00144016i
\(211\) −7.16004 3.44810i −0.492918 0.237377i 0.170876 0.985293i \(-0.445340\pi\)
−0.663793 + 0.747916i \(0.731055\pi\)
\(212\) 6.31031 5.85511i 0.433394 0.402131i
\(213\) −24.6762 + 3.71934i −1.69078 + 0.254845i
\(214\) −0.0384567 + 0.0666089i −0.00262884 + 0.00455329i
\(215\) −6.07883 10.5288i −0.414573 0.718061i
\(216\) −0.286618 0.359407i −0.0195019 0.0244546i
\(217\) −10.4631 14.0533i −0.710282 0.954000i
\(218\) 0.0716491 0.0898451i 0.00485269 0.00608508i
\(219\) −40.4760 6.10077i −2.73511 0.412252i
\(220\) 23.3319 15.9074i 1.57304 1.07248i
\(221\) −2.78309 + 1.89748i −0.187211 + 0.127638i
\(222\) 0.0312892 + 0.00471609i 0.00209999 + 0.000316523i
\(223\) 11.1535 13.9860i 0.746892 0.936572i −0.252628 0.967563i \(-0.581295\pi\)
0.999520 + 0.0309910i \(0.00986632\pi\)
\(224\) 0.0729528 0.276903i 0.00487436 0.0185013i
\(225\) 2.87865 + 3.60971i 0.191910 + 0.240647i
\(226\) −0.0643029 0.111376i −0.00427737 0.00740862i
\(227\) −2.45937 + 4.25976i −0.163234 + 0.282730i −0.936027 0.351928i \(-0.885526\pi\)
0.772792 + 0.634659i \(0.218859\pi\)
\(228\) −24.1330 + 3.63746i −1.59824 + 0.240897i
\(229\) −6.61669 + 6.13939i −0.437243 + 0.405703i −0.867841 0.496841i \(-0.834493\pi\)
0.430598 + 0.902544i \(0.358303\pi\)
\(230\) −0.0373569 0.0179901i −0.00246324 0.00118623i
\(231\) 16.6210 + 46.8687i 1.09358 + 3.08374i
\(232\) −0.180974 + 0.0871524i −0.0118815 + 0.00572183i
\(233\) −2.93698 + 7.48330i −0.192408 + 0.490248i −0.994224 0.107323i \(-0.965772\pi\)
0.801816 + 0.597571i \(0.203867\pi\)
\(234\) 0.00473475 0.0631809i 0.000309520 0.00413026i
\(235\) 1.26641 + 0.390635i 0.0826114 + 0.0254822i
\(236\) 1.16739 + 15.5777i 0.0759906 + 1.01402i
\(237\) −1.31855 + 5.77694i −0.0856490 + 0.375253i
\(238\) −0.0607076 + 0.0526878i −0.00393509 + 0.00341525i
\(239\) 4.04351 + 17.7158i 0.261553 + 1.14594i 0.919567 + 0.392934i \(0.128540\pi\)
−0.658014 + 0.753006i \(0.728603\pi\)
\(240\) 28.7809 8.87772i 1.85780 0.573054i
\(241\) 0.140946 + 0.359124i 0.00907911 + 0.0231332i 0.935341 0.353746i \(-0.115092\pi\)
−0.926262 + 0.376879i \(0.876997\pi\)
\(242\) −0.160284 0.148722i −0.0103034 0.00956020i
\(243\) 18.8239 + 12.8339i 1.20755 + 0.823296i
\(244\) 23.0061 1.47281
\(245\) −14.4882 8.20355i −0.925618 0.524105i
\(246\) 0.168039 0.0107138
\(247\) −3.18459 2.17121i −0.202630 0.138151i
\(248\) 0.175137 + 0.162504i 0.0111212 + 0.0103190i
\(249\) −11.6906 29.7871i −0.740859 1.88768i
\(250\) −0.0890272 + 0.0274612i −0.00563057 + 0.00173680i
\(251\) 1.65885 + 7.26791i 0.104706 + 0.458747i 0.999914 + 0.0130986i \(0.00416954\pi\)
−0.895208 + 0.445648i \(0.852973\pi\)
\(252\) 1.54549 + 37.1359i 0.0973568 + 2.33934i
\(253\) 2.55307 11.1857i 0.160510 0.703241i
\(254\) 0.00346362 + 0.0462188i 0.000217327 + 0.00290002i
\(255\) −24.2392 7.47681i −1.51792 0.468216i
\(256\) 1.19520 15.9488i 0.0746997 0.996798i
\(257\) 5.82445 14.8405i 0.363319 0.925722i −0.625982 0.779837i \(-0.715302\pi\)
0.989302 0.145885i \(-0.0466030\pi\)
\(258\) −0.131516 + 0.0633346i −0.00818781 + 0.00394304i
\(259\) −2.08160 2.06422i −0.129345 0.128264i
\(260\) 4.28574 + 2.06390i 0.265790 + 0.127998i
\(261\) 28.6685 26.6005i 1.77454 1.64653i
\(262\) −0.201303 + 0.0303416i −0.0124366 + 0.00187451i
\(263\) −6.95319 + 12.0433i −0.428752 + 0.742621i −0.996763 0.0804007i \(-0.974380\pi\)
0.568010 + 0.823021i \(0.307713\pi\)
\(264\) −0.339056 0.587262i −0.0208675 0.0361435i
\(265\) 6.38318 + 8.00425i 0.392116 + 0.491697i
\(266\) −0.0814997 0.0426376i −0.00499707 0.00261428i
\(267\) −13.6364 + 17.0995i −0.834533 + 1.04647i
\(268\) 30.2792 + 4.56385i 1.84959 + 0.278781i
\(269\) 6.26942 4.27442i 0.382253 0.260616i −0.356915 0.934137i \(-0.616171\pi\)
0.739168 + 0.673521i \(0.235219\pi\)
\(270\) 0.225856 0.153986i 0.0137452 0.00937129i
\(271\) −9.02358 1.36009i −0.548144 0.0826194i −0.130869 0.991400i \(-0.541777\pi\)
−0.417275 + 0.908780i \(0.637015\pi\)
\(272\) −8.39960 + 10.5328i −0.509300 + 0.638643i
\(273\) −5.43741 + 6.37223i −0.329087 + 0.385665i
\(274\) 0.108485 + 0.136035i 0.00655379 + 0.00821820i
\(275\) 1.95096 + 3.37916i 0.117647 + 0.203771i
\(276\) 6.11893 10.5983i 0.368316 0.637942i
\(277\) −19.2204 + 2.89702i −1.15484 + 0.174065i −0.698414 0.715694i \(-0.746110\pi\)
−0.456431 + 0.889759i \(0.650872\pi\)
\(278\) 0.0979039 0.0908416i 0.00587189 0.00544831i
\(279\) −41.9101 20.1828i −2.50909 1.20832i
\(280\) 0.214609 + 0.0740864i 0.0128254 + 0.00442751i
\(281\) 16.5258 7.95840i 0.985846 0.474758i 0.129734 0.991549i \(-0.458588\pi\)
0.856112 + 0.516791i \(0.172873\pi\)
\(282\) 0.00581335 0.0148122i 0.000346180 0.000882052i
\(283\) 2.34906 31.3461i 0.139637 1.86333i −0.285731 0.958310i \(-0.592236\pi\)
0.425368 0.905020i \(-0.360145\pi\)
\(284\) −15.0627 4.64623i −0.893807 0.275703i
\(285\) −2.16908 28.9444i −0.128485 1.71452i
\(286\) 0.0119149 0.0522028i 0.000704546 0.00308682i
\(287\) −12.5648 9.19208i −0.741674 0.542591i
\(288\) −0.169173 0.741194i −0.00996860 0.0436753i
\(289\) −5.40277 + 1.66653i −0.317810 + 0.0980314i
\(290\) −0.0436372 0.111186i −0.00256246 0.00652905i
\(291\) −9.92860 9.21240i −0.582025 0.540040i
\(292\) −21.3631 14.5651i −1.25018 0.852358i
\(293\) −14.9633 −0.874166 −0.437083 0.899421i \(-0.643988\pi\)
−0.437083 + 0.899421i \(0.643988\pi\)
\(294\) −0.111220 + 0.166106i −0.00648651 + 0.00968753i
\(295\) −18.5786 −1.08169
\(296\) 0.0330294 + 0.0225191i 0.00191979 + 0.00130889i
\(297\) 55.4488 + 51.4490i 3.21747 + 2.98537i
\(298\) 0.0441692 + 0.112541i 0.00255865 + 0.00651934i
\(299\) 1.84683 0.569672i 0.106805 0.0329450i
\(300\) 0.926110 + 4.05755i 0.0534690 + 0.234263i
\(301\) 13.2983 + 2.45847i 0.766504 + 0.141704i
\(302\) 0.0254230 0.111386i 0.00146293 0.00640952i
\(303\) −0.833706 11.1250i −0.0478951 0.639116i
\(304\) −14.7305 4.54376i −0.844853 0.260603i
\(305\) −2.04470 + 27.2846i −0.117079 + 1.56231i
\(306\) −0.0779691 + 0.198662i −0.00445720 + 0.0113567i
\(307\) 8.67247 4.17644i 0.494964 0.238362i −0.169712 0.985494i \(-0.554284\pi\)
0.664676 + 0.747131i \(0.268569\pi\)
\(308\) −3.38606 + 31.2285i −0.192939 + 1.77941i
\(309\) 2.53868 + 1.22257i 0.144421 + 0.0695494i
\(310\) −0.104143 + 0.0966309i −0.00591495 + 0.00548827i
\(311\) 11.9847 1.80641i 0.679592 0.102432i 0.199830 0.979831i \(-0.435961\pi\)
0.479762 + 0.877399i \(0.340723\pi\)
\(312\) 0.0571141 0.0989245i 0.00323345 0.00560050i
\(313\) 9.70718 + 16.8133i 0.548682 + 0.950345i 0.998365 + 0.0571571i \(0.0182036\pi\)
−0.449683 + 0.893188i \(0.648463\pi\)
\(314\) 0.127187 + 0.159487i 0.00717757 + 0.00900038i
\(315\) −44.1796 1.46760i −2.48924 0.0826898i
\(316\) −2.33366 + 2.92632i −0.131279 + 0.164618i
\(317\) −10.0457 1.51415i −0.564223 0.0850429i −0.139263 0.990255i \(-0.544473\pi\)
−0.424959 + 0.905212i \(0.639712\pi\)
\(318\) 0.101562 0.0692438i 0.00569532 0.00388300i
\(319\) 27.3083 18.6185i 1.52897 1.04244i
\(320\) 18.8109 + 2.83529i 1.05156 + 0.158497i
\(321\) 16.8332 21.1082i 0.939538 1.17814i
\(322\) 0.0421958 0.0186208i 0.00235148 0.00103770i
\(323\) 8.09466 + 10.1504i 0.450399 + 0.564783i
\(324\) 19.2681 + 33.3734i 1.07045 + 1.85408i
\(325\) −0.328640 + 0.569221i −0.0182297 + 0.0315747i
\(326\) 0.00990319 0.00149267i 0.000548487 8.26711e-5i
\(327\) −29.5700 + 27.4370i −1.63523 + 1.51727i
\(328\) 0.191268 + 0.0921098i 0.0105610 + 0.00508591i
\(329\) −1.24494 + 0.789547i −0.0686356 + 0.0435291i
\(330\) 0.363299 0.174955i 0.0199989 0.00963098i
\(331\) −4.30861 + 10.9782i −0.236822 + 0.603414i −0.999035 0.0439126i \(-0.986018\pi\)
0.762213 + 0.647326i \(0.224113\pi\)
\(332\) 1.51048 20.1560i 0.0828985 1.10620i
\(333\) −7.43744 2.29415i −0.407569 0.125718i
\(334\) 0.00412567 + 0.0550532i 0.000225747 + 0.00301238i
\(335\) −8.10372 + 35.5047i −0.442753 + 1.93983i
\(336\) −13.2687 + 30.7636i −0.723869 + 1.67829i
\(337\) −3.07026 13.4517i −0.167248 0.732759i −0.987090 0.160169i \(-0.948796\pi\)
0.819842 0.572590i \(-0.194061\pi\)
\(338\) 0.00861900 0.00265861i 0.000468812 0.000144609i
\(339\) 16.4928 + 42.0230i 0.895767 + 2.28238i
\(340\) −11.7455 10.8983i −0.636991 0.591042i
\(341\) −32.4813 22.1454i −1.75896 1.19924i
\(342\) −0.244202 −0.0132049
\(343\) 17.4026 6.33627i 0.939654 0.342126i
\(344\) −0.184412 −0.00994285
\(345\) 12.0255 + 8.19883i 0.647430 + 0.441410i
\(346\) 0.0148873 + 0.0138134i 0.000800344 + 0.000742611i
\(347\) −7.27550 18.5377i −0.390570 0.995155i −0.982014 0.188809i \(-0.939537\pi\)
0.591444 0.806346i \(-0.298558\pi\)
\(348\) 33.6873 10.3912i 1.80583 0.557025i
\(349\) 1.12165 + 4.91429i 0.0600408 + 0.263056i 0.996035 0.0889586i \(-0.0283539\pi\)
−0.935995 + 0.352015i \(0.885497\pi\)
\(350\) −0.00621208 + 0.0144027i −0.000332050 + 0.000769857i
\(351\) −2.83531 + 12.4223i −0.151338 + 0.663053i
\(352\) −0.0480147 0.640712i −0.00255919 0.0341501i
\(353\) 6.36159 + 1.96229i 0.338593 + 0.104442i 0.459389 0.888235i \(-0.348068\pi\)
−0.120796 + 0.992677i \(0.538545\pi\)
\(354\) −0.0166696 + 0.222441i −0.000885981 + 0.0118226i
\(355\) 6.84903 17.4511i 0.363509 0.926206i
\(356\) −12.4470 + 5.99414i −0.659687 + 0.317689i
\(357\) 23.8283 15.1120i 1.26113 0.799814i
\(358\) −0.173785 0.0836905i −0.00918482 0.00442318i
\(359\) −19.3908 + 17.9920i −1.02341 + 0.949581i −0.998743 0.0501148i \(-0.984041\pi\)
−0.0246616 + 0.999696i \(0.507851\pi\)
\(360\) 0.596045 0.0898393i 0.0314143 0.00473495i
\(361\) 2.07212 3.58902i 0.109059 0.188896i
\(362\) 0.0702432 + 0.121665i 0.00369190 + 0.00639456i
\(363\) 47.8543 + 60.0074i 2.51170 + 3.14957i
\(364\) −4.84088 + 2.13626i −0.253731 + 0.111971i
\(365\) 19.1725 24.0416i 1.00354 1.25839i
\(366\) 0.324844 + 0.0489623i 0.0169798 + 0.00255930i
\(367\) 26.9017 18.3413i 1.40426 0.957406i 0.405189 0.914233i \(-0.367206\pi\)
0.999068 0.0431726i \(-0.0137465\pi\)
\(368\) 6.38670 4.35438i 0.332930 0.226988i
\(369\) −40.8713 6.16036i −2.12768 0.320696i
\(370\) −0.0148210 + 0.0185849i −0.000770506 + 0.000966184i
\(371\) −11.3819 0.378093i −0.590917 0.0196296i
\(372\) −26.1439 32.7835i −1.35550 1.69974i
\(373\) −0.818840 1.41827i −0.0423979 0.0734354i 0.844048 0.536268i \(-0.180166\pi\)
−0.886446 + 0.462833i \(0.846833\pi\)
\(374\) −0.0901807 + 0.156197i −0.00466313 + 0.00807678i
\(375\) 32.3383 4.87421i 1.66994 0.251703i
\(376\) 0.0147362 0.0136732i 0.000759961 0.000705140i
\(377\) 5.01616 + 2.41566i 0.258345 + 0.124413i
\(378\) −0.0327776 + 0.302297i −0.00168590 + 0.0155485i
\(379\) 14.2647 6.86952i 0.732729 0.352864i −0.0300278 0.999549i \(-0.509560\pi\)
0.762757 + 0.646685i \(0.223845\pi\)
\(380\) 6.69826 17.0669i 0.343613 0.875513i
\(381\) 1.21581 16.2239i 0.0622879 0.831174i
\(382\) −0.0269456 0.00831161i −0.00137866 0.000425259i
\(383\) −0.762042 10.1687i −0.0389385 0.519599i −0.982236 0.187650i \(-0.939913\pi\)
0.943297 0.331949i \(-0.107706\pi\)
\(384\) 0.203329 0.890841i 0.0103761 0.0454606i
\(385\) −36.7353 6.79127i −1.87220 0.346115i
\(386\) −0.00350303 0.0153478i −0.000178299 0.000781181i
\(387\) 34.3098 10.5832i 1.74407 0.537973i
\(388\) −3.12561 7.96393i −0.158679 0.404307i
\(389\) 10.6887 + 9.91765i 0.541938 + 0.502845i 0.902967 0.429710i \(-0.141384\pi\)
−0.361029 + 0.932554i \(0.617575\pi\)
\(390\) 0.0561218 + 0.0382632i 0.00284184 + 0.00193753i
\(391\) −6.51007 −0.329229
\(392\) −0.217645 + 0.128103i −0.0109928 + 0.00647019i
\(393\) 71.4603 3.60470
\(394\) −0.137859 0.0939910i −0.00694526 0.00473520i
\(395\) −3.26313 3.02775i −0.164186 0.152342i
\(396\) 30.4683 + 77.6319i 1.53109 + 3.90115i
\(397\) 4.04985 1.24921i 0.203256 0.0626962i −0.191455 0.981501i \(-0.561321\pi\)
0.394711 + 0.918805i \(0.370845\pi\)
\(398\) 0.0362755 + 0.158933i 0.00181832 + 0.00796660i
\(399\) 26.0581 + 19.0635i 1.30454 + 0.954367i
\(400\) −0.584963 + 2.56289i −0.0292481 + 0.128144i
\(401\) 2.00410 + 26.7428i 0.100080 + 1.33547i 0.790678 + 0.612233i \(0.209728\pi\)
−0.690598 + 0.723239i \(0.742652\pi\)
\(402\) 0.417826 + 0.128882i 0.0208393 + 0.00642806i
\(403\) 0.494875 6.60365i 0.0246515 0.328951i
\(404\) 2.57454 6.55981i 0.128088 0.326363i
\(405\) −41.2925 + 19.8854i −2.05184 + 0.988113i
\(406\) 0.125590 + 0.0433556i 0.00623293 + 0.00215170i
\(407\) −5.92637 2.85399i −0.293759 0.141467i
\(408\) −0.282053 + 0.261707i −0.0139637 + 0.0129564i
\(409\) −13.2785 + 2.00141i −0.656578 + 0.0989632i −0.468878 0.883263i \(-0.655341\pi\)
−0.187700 + 0.982226i \(0.560103\pi\)
\(410\) −0.0631182 + 0.109324i −0.00311719 + 0.00539913i
\(411\) −30.5383 52.8939i −1.50634 2.60906i
\(412\) 1.10972 + 1.39154i 0.0546718 + 0.0685562i
\(413\) 13.4144 15.7207i 0.660079 0.773563i
\(414\) 0.0763475 0.0957368i 0.00375228 0.00470520i
\(415\) 23.7702 + 3.58279i 1.16684 + 0.175872i
\(416\) 0.0894245 0.0609686i 0.00438439 0.00298923i
\(417\) −38.7353 + 26.4093i −1.89688 + 1.29327i
\(418\) −0.204075 0.0307594i −0.00998165 0.00150449i
\(419\) 10.1493 12.7268i 0.495826 0.621746i −0.469456 0.882956i \(-0.655550\pi\)
0.965282 + 0.261210i \(0.0841215\pi\)
\(420\) −35.3070 18.4713i −1.72280 0.901307i
\(421\) 16.2148 + 20.3327i 0.790260 + 0.990954i 0.999913 + 0.0131784i \(0.00419493\pi\)
−0.209654 + 0.977776i \(0.567234\pi\)
\(422\) −0.0358401 0.0620768i −0.00174467 0.00302185i
\(423\) −1.95697 + 3.38958i −0.0951513 + 0.164807i
\(424\) 0.153557 0.0231450i 0.00745739 0.00112402i
\(425\) 1.62296 1.50588i 0.0787250 0.0730461i
\(426\) −0.202796 0.0976613i −0.00982549 0.00473170i
\(427\) −21.6111 21.4307i −1.04584 1.03710i
\(428\) 15.3649 7.39936i 0.742692 0.357662i
\(429\) −6.86682 + 17.4964i −0.331533 + 0.844733i
\(430\) 0.00819480 0.109352i 0.000395188 0.00527342i
\(431\) 24.5648 + 7.57723i 1.18324 + 0.364982i 0.823090 0.567911i \(-0.192248\pi\)
0.360153 + 0.932893i \(0.382724\pi\)
\(432\) 3.80831 + 50.8183i 0.183227 + 2.44500i
\(433\) 0.456559 2.00032i 0.0219408 0.0961290i −0.962772 0.270315i \(-0.912872\pi\)
0.984713 + 0.174186i \(0.0557293\pi\)
\(434\) −0.00657111 0.157894i −0.000315423 0.00757917i
\(435\) 9.32965 + 40.8759i 0.447322 + 1.95985i
\(436\) −24.3481 + 7.51038i −1.16606 + 0.359682i
\(437\) −2.72151 6.93429i −0.130187 0.331712i
\(438\) −0.270647 0.251123i −0.0129320 0.0119991i
\(439\) −6.84553 4.66721i −0.326720 0.222754i 0.388840 0.921305i \(-0.372876\pi\)
−0.715560 + 0.698552i \(0.753828\pi\)
\(440\) 0.509420 0.0242857
\(441\) 33.1411 36.3239i 1.57815 1.72971i
\(442\) −0.0303819 −0.00144512
\(443\) 12.5355 + 8.54654i 0.595578 + 0.406058i 0.823249 0.567680i \(-0.192159\pi\)
−0.227671 + 0.973738i \(0.573111\pi\)
\(444\) −5.14312 4.77212i −0.244082 0.226475i
\(445\) −6.00265 15.2945i −0.284553 0.725029i
\(446\) 0.154183 0.0475593i 0.00730079 0.00225200i
\(447\) −9.44339 41.3742i −0.446657 1.95693i
\(448\) −15.9813 + 13.8701i −0.755046 + 0.655300i
\(449\) −4.20638 + 18.4294i −0.198511 + 0.869735i 0.773312 + 0.634025i \(0.218599\pi\)
−0.971824 + 0.235710i \(0.924259\pi\)
\(450\) 0.00311206 + 0.0415275i 0.000146704 + 0.00195763i
\(451\) −33.3795 10.2962i −1.57178 0.484830i
\(452\) −2.13096 + 28.4357i −0.100232 + 1.33750i
\(453\) −14.6518 + 37.3322i −0.688401 + 1.75402i
\(454\) −0.0399721 + 0.0192496i −0.00187599 + 0.000903427i
\(455\) −2.10331 5.93102i −0.0986048 0.278051i
\(456\) −0.396671 0.191027i −0.0185758 0.00894564i
\(457\) 22.0046 20.4173i 1.02933 0.955082i 0.0303222 0.999540i \(-0.490347\pi\)
0.999011 + 0.0444583i \(0.0141562\pi\)
\(458\) −0.0805047 + 0.0121341i −0.00376174 + 0.000566991i
\(459\) 21.4596 37.1691i 1.00165 1.73491i
\(460\) 4.59674 + 7.96179i 0.214324 + 0.371220i
\(461\) −4.32704 5.42594i −0.201530 0.252711i 0.670788 0.741649i \(-0.265956\pi\)
−0.872319 + 0.488938i \(0.837385\pi\)
\(462\) −0.114272 + 0.433737i −0.00531644 + 0.0201793i
\(463\) 3.52429 4.41932i 0.163788 0.205383i −0.693164 0.720780i \(-0.743784\pi\)
0.856952 + 0.515397i \(0.172355\pi\)
\(464\) 22.0186 + 3.31878i 1.02219 + 0.154070i
\(465\) 41.2039 28.0924i 1.91079 1.30275i
\(466\) −0.0599103 + 0.0408461i −0.00277529 + 0.00189216i
\(467\) −14.4035 2.17098i −0.666516 0.100461i −0.192935 0.981212i \(-0.561801\pi\)
−0.473581 + 0.880750i \(0.657039\pi\)
\(468\) −8.75892 + 10.9833i −0.404881 + 0.507705i
\(469\) −24.1919 32.4928i −1.11708 1.50038i
\(470\) 0.00745302 + 0.00934579i 0.000343782 + 0.000431089i
\(471\) −35.8029 62.0125i −1.64971 2.85739i
\(472\) −0.140904 + 0.244052i −0.00648562 + 0.0112334i
\(473\) 30.0052 4.52255i 1.37964 0.207947i
\(474\) −0.0391790 + 0.0363528i −0.00179955 + 0.00166974i
\(475\) 2.28248 + 1.09919i 0.104727 + 0.0504341i
\(476\) 17.7025 2.06980i 0.811394 0.0948693i
\(477\) −27.2410 + 13.1186i −1.24728 + 0.600657i
\(478\) −0.0598797 + 0.152571i −0.00273883 + 0.00697843i
\(479\) 1.64959 22.0123i 0.0753717 1.00577i −0.823432 0.567415i \(-0.807944\pi\)
0.898804 0.438351i \(-0.144437\pi\)
\(480\) 0.778838 + 0.240240i 0.0355489 + 0.0109654i
\(481\) −0.0828030 1.10493i −0.00377549 0.0503805i
\(482\) −0.000774314 0.00339249i −3.52690e−5 0.000154524i
\(483\) −15.6205 + 4.25577i −0.710755 + 0.193644i
\(484\) 10.7881 + 47.2658i 0.490369 + 2.14845i
\(485\) 9.72281 2.99909i 0.441490 0.136182i
\(486\) 0.0750750 + 0.191288i 0.00340547 + 0.00867700i
\(487\) 16.3953 + 15.2126i 0.742941 + 0.689348i 0.957845 0.287287i \(-0.0927533\pi\)
−0.214904 + 0.976635i \(0.568944\pi\)
\(488\) 0.342910 + 0.233792i 0.0155228 + 0.0105833i
\(489\) −3.51552 −0.158977
\(490\) −0.0662905 0.134751i −0.00299470 0.00608743i
\(491\) 20.3048 0.916343 0.458171 0.888864i \(-0.348505\pi\)
0.458171 + 0.888864i \(0.348505\pi\)
\(492\) −30.7847 20.9887i −1.38788 0.946242i
\(493\) −13.7473 12.7557i −0.619149 0.574486i
\(494\) −0.0127010 0.0323617i −0.000571446 0.00145602i
\(495\) −94.7774 + 29.2349i −4.25993 + 1.31401i
\(496\) −5.89356 25.8214i −0.264629 1.15941i
\(497\) 9.82134 + 18.3958i 0.440548 + 0.825162i
\(498\) 0.0642245 0.281386i 0.00287797 0.0126092i
\(499\) 0.204319 + 2.72644i 0.00914655 + 0.122052i 0.999908 0.0135639i \(-0.00431765\pi\)
−0.990761 + 0.135616i \(0.956699\pi\)
\(500\) 19.7398 + 6.08891i 0.882789 + 0.272304i
\(501\) 1.44821 19.3250i 0.0647011 0.863376i
\(502\) −0.0245657 + 0.0625923i −0.00109642 + 0.00279363i
\(503\) −17.9468 + 8.64271i −0.800207 + 0.385360i −0.788858 0.614576i \(-0.789327\pi\)
−0.0113498 + 0.999936i \(0.503613\pi\)
\(504\) −0.354346 + 0.569224i −0.0157838 + 0.0253552i
\(505\) 7.55096 + 3.63635i 0.336013 + 0.161815i
\(506\) 0.0758612 0.0703889i 0.00337244 0.00312917i
\(507\) −3.13077 + 0.471887i −0.139042 + 0.0209573i
\(508\) 5.13835 8.89989i 0.227978 0.394869i
\(509\) −4.60702 7.97959i −0.204202 0.353689i 0.745676 0.666309i \(-0.232127\pi\)
−0.949878 + 0.312620i \(0.898793\pi\)
\(510\) −0.142652 0.178880i −0.00631673 0.00792093i
\(511\) 6.50006 + 33.5821i 0.287546 + 1.48559i
\(512\) 0.449823 0.564060i 0.0198796 0.0249282i
\(513\) 48.5622 + 7.31958i 2.14407 + 0.323167i
\(514\) 0.118811 0.0810037i 0.00524051 0.00357292i
\(515\) −1.74896 + 1.19242i −0.0770683 + 0.0525443i
\(516\) 32.0044 + 4.82388i 1.40891 + 0.212360i
\(517\) −2.06236 + 2.58611i −0.0907023 + 0.113737i
\(518\) −0.00502476 0.0259601i −0.000220775 0.00114062i
\(519\) −4.44473 5.57352i −0.195102 0.244650i
\(520\) 0.0429060 + 0.0743154i 0.00188155 + 0.00325894i
\(521\) −8.21209 + 14.2238i −0.359778 + 0.623154i −0.987924 0.154942i \(-0.950481\pi\)
0.628145 + 0.778096i \(0.283814\pi\)
\(522\) 0.348807 0.0525742i 0.0152669 0.00230111i
\(523\) 29.7689 27.6215i 1.30170 1.20780i 0.337903 0.941181i \(-0.390283\pi\)
0.963801 0.266623i \(-0.0859080\pi\)
\(524\) 40.6685 + 19.5849i 1.77661 + 0.855571i
\(525\) 2.90974 4.67422i 0.126992 0.204000i
\(526\) −0.113010 + 0.0544228i −0.00492747 + 0.00237295i
\(527\) −8.14931 + 20.7641i −0.354989 + 0.904498i
\(528\) −5.61772 + 74.9632i −0.244480 + 3.26235i
\(529\) −18.4088 5.67836i −0.800383 0.246885i
\(530\) 0.00690075 + 0.0920841i 0.000299749 + 0.00399988i
\(531\) 12.2092 53.4921i 0.529835 2.32136i
\(532\) 9.60514 + 17.9908i 0.416436 + 0.780000i
\(533\) −1.30936 5.73668i −0.0567147 0.248483i
\(534\) −0.188507 + 0.0581466i −0.00815748 + 0.00251625i
\(535\) 7.40987 + 18.8801i 0.320357 + 0.816256i
\(536\) 0.404938 + 0.375727i 0.0174907 + 0.0162290i
\(537\) 55.9428 + 38.1411i 2.41411 + 1.64591i
\(538\) 0.0684407 0.00295069
\(539\) 32.2708 26.1809i 1.39000 1.12769i
\(540\) −60.6102 −2.60825
\(541\) −12.5619 8.56459i −0.540080 0.368220i 0.262344 0.964974i \(-0.415504\pi\)
−0.802424 + 0.596754i \(0.796457\pi\)
\(542\) −0.0603372 0.0559847i −0.00259170 0.00240475i
\(543\) −18.0164 45.9051i −0.773159 1.96998i
\(544\) −0.348367 + 0.107457i −0.0149361 + 0.00460718i
\(545\) −6.74315 29.5437i −0.288845 1.26551i
\(546\) −0.0728992 + 0.0198613i −0.00311980 + 0.000849984i
\(547\) 3.44293 15.0845i 0.147209 0.644965i −0.846444 0.532478i \(-0.821261\pi\)
0.993653 0.112488i \(-0.0358819\pi\)
\(548\) −2.88306 38.4718i −0.123158 1.64343i
\(549\) −77.2152 23.8177i −3.29546 1.01652i
\(550\) −0.00263007 + 0.0350958i −0.000112147 + 0.00149649i
\(551\) 7.83984 19.9756i 0.333989 0.850989i
\(552\) 0.198905 0.0957878i 0.00846598 0.00407700i
\(553\) 4.91810 0.575031i 0.209139 0.0244528i
\(554\) −0.157959 0.0760690i −0.00671103 0.00323186i
\(555\) 6.11672 5.67548i 0.259640 0.240911i
\(556\) −29.2824 + 4.41361i −1.24185 + 0.187179i
\(557\) −17.0111 + 29.4641i −0.720783 + 1.24843i 0.239904 + 0.970797i \(0.422884\pi\)
−0.960687 + 0.277635i \(0.910449\pi\)
\(558\) −0.209784 0.363356i −0.00888086 0.0153821i
\(559\) 3.18695 + 3.99631i 0.134794 + 0.169026i
\(560\) −15.0304 20.1878i −0.635152 0.853090i
\(561\) 39.4738 49.4986i 1.66658 2.08983i
\(562\) 0.163594 + 0.0246578i 0.00690079 + 0.00104013i
\(563\) −18.5011 + 12.6139i −0.779729 + 0.531610i −0.886531 0.462670i \(-0.846891\pi\)
0.106801 + 0.994280i \(0.465939\pi\)
\(564\) −2.91510 + 1.98748i −0.122748 + 0.0836880i
\(565\) −33.5346 5.05453i −1.41081 0.212646i
\(566\) 0.176775 0.221669i 0.00743042 0.00931745i
\(567\) 12.9882 49.2985i 0.545452 2.07034i
\(568\) −0.177297 0.222323i −0.00743920 0.00932847i
\(569\) −5.26935 9.12678i −0.220903 0.382615i 0.734180 0.678955i \(-0.237567\pi\)
−0.955082 + 0.296341i \(0.904234\pi\)
\(570\) 0.130901 0.226727i 0.00548284 0.00949656i
\(571\) 5.42992 0.818428i 0.227235 0.0342502i −0.0344377 0.999407i \(-0.510964\pi\)
0.261673 + 0.965157i \(0.415726\pi\)
\(572\) −8.70313 + 8.07532i −0.363896 + 0.337646i
\(573\) 8.91804 + 4.29470i 0.372556 + 0.179414i
\(574\) −0.0469333 0.132345i −0.00195896 0.00552397i
\(575\) −1.14452 + 0.551172i −0.0477298 + 0.0229855i
\(576\) −20.5254 + 52.2978i −0.855224 + 2.17908i
\(577\) 0.517356 6.90364i 0.0215378 0.287402i −0.976027 0.217651i \(-0.930160\pi\)
0.997564 0.0697510i \(-0.0222205\pi\)
\(578\) −0.0487315 0.0150317i −0.00202696 0.000625235i
\(579\) 0.412956 + 5.51052i 0.0171619 + 0.229009i
\(580\) −5.89317 + 25.8196i −0.244700 + 1.07210i
\(581\) −20.1946 + 17.5268i −0.837815 + 0.727135i
\(582\) −0.0271842 0.119102i −0.00112682 0.00493694i
\(583\) −24.4172 + 7.53171i −1.01126 + 0.311931i
\(584\) −0.170407 0.434191i −0.00705151 0.0179670i
\(585\) −12.2475 11.3640i −0.506372 0.469844i
\(586\) −0.111513 0.0760284i −0.00460657 0.00314070i
\(587\) 8.49721 0.350717 0.175359 0.984505i \(-0.443891\pi\)
0.175359 + 0.984505i \(0.443891\pi\)
\(588\) 41.1228 16.5388i 1.69588 0.682050i
\(589\) −25.5239 −1.05170
\(590\) −0.138456 0.0943975i −0.00570013 0.00388628i
\(591\) 42.9340 + 39.8369i 1.76607 + 1.63867i
\(592\) −1.61903 4.12523i −0.0665419 0.169546i
\(593\) −15.2397 + 4.70081i −0.625818 + 0.193039i −0.591413 0.806369i \(-0.701430\pi\)
−0.0344048 + 0.999408i \(0.510954\pi\)
\(594\) 0.151817 + 0.665155i 0.00622914 + 0.0272917i
\(595\) 0.881397 + 21.1787i 0.0361337 + 0.868242i
\(596\) 5.96501 26.1344i 0.244336 1.07051i
\(597\) −4.27635 57.0640i −0.175019 2.33547i
\(598\) 0.0166579 + 0.00513829i 0.000681193 + 0.000210120i
\(599\) 0.110921 1.48014i 0.00453213 0.0604771i −0.994479 0.104934i \(-0.966537\pi\)
0.999011 + 0.0444572i \(0.0141558\pi\)
\(600\) −0.0274298 + 0.0698899i −0.00111982 + 0.00285324i
\(601\) −11.2704 + 5.42756i −0.459731 + 0.221395i −0.649390 0.760455i \(-0.724976\pi\)
0.189660 + 0.981850i \(0.439262\pi\)
\(602\) 0.0866137 + 0.0858903i 0.00353011 + 0.00350063i
\(603\) −96.9009 46.6650i −3.94611 1.90035i
\(604\) −18.5699 + 17.2304i −0.755600 + 0.701094i
\(605\) −57.0149 + 8.59361i −2.31799 + 0.349380i
\(606\) 0.0503130 0.0871447i 0.00204383 0.00354001i
\(607\) 11.9219 + 20.6494i 0.483896 + 0.838132i 0.999829 0.0184968i \(-0.00588803\pi\)
−0.515933 + 0.856629i \(0.672555\pi\)
\(608\) −0.260092 0.326145i −0.0105481 0.0132269i
\(609\) −41.3244 21.6194i −1.67455 0.876061i
\(610\) −0.153871 + 0.192948i −0.00623005 + 0.00781223i
\(611\) −0.550970 0.0830454i −0.0222899 0.00335966i
\(612\) 39.0975 26.6562i 1.58042 1.07751i
\(613\) −19.7671 + 13.4770i −0.798387 + 0.544331i −0.892403 0.451239i \(-0.850982\pi\)
0.0940156 + 0.995571i \(0.470030\pi\)
\(614\) 0.0858516 + 0.0129400i 0.00346469 + 0.000522218i
\(615\) 27.6281 34.6445i 1.11407 1.39700i
\(616\) −0.367820 + 0.431057i −0.0148199 + 0.0173678i
\(617\) −15.3277 19.2204i −0.617072 0.773783i 0.370858 0.928690i \(-0.379064\pi\)
−0.987929 + 0.154906i \(0.950492\pi\)
\(618\) 0.0127076 + 0.0220101i 0.000511173 + 0.000885377i
\(619\) −1.99818 + 3.46094i −0.0803135 + 0.139107i −0.903385 0.428831i \(-0.858925\pi\)
0.823071 + 0.567938i \(0.192259\pi\)
\(620\) 31.1486 4.69489i 1.25096 0.188551i
\(621\) −18.0521 + 16.7499i −0.724406 + 0.672150i
\(622\) 0.0984939 + 0.0474322i 0.00394925 + 0.00190186i
\(623\) 17.2759 + 5.96391i 0.692145 + 0.238939i
\(624\) −11.4090 + 5.49426i −0.456724 + 0.219947i
\(625\) −10.1763 + 25.9289i −0.407054 + 1.03716i
\(626\) −0.0130861 + 0.174622i −0.000523027 + 0.00697931i
\(627\) 69.2259 + 21.3533i 2.76461 + 0.852771i
\(628\) −3.38008 45.1041i −0.134880 1.79985i
\(629\) −0.830508 + 3.63869i −0.0331145 + 0.145084i
\(630\) −0.321789 0.235413i −0.0128204 0.00937909i
\(631\) 9.39847 + 41.1774i 0.374147 + 1.63925i 0.714997 + 0.699127i \(0.246428\pi\)
−0.340850 + 0.940118i \(0.610715\pi\)
\(632\) −0.0645215 + 0.0199022i −0.00256653 + 0.000791669i
\(633\) 9.19249 + 23.4221i 0.365369 + 0.930945i
\(634\) −0.0671716 0.0623262i −0.00266773 0.00247529i
\(635\) 10.0984 + 6.88495i 0.400741 + 0.273221i
\(636\) −27.2549 −1.08073
\(637\) 6.53733 + 2.50265i 0.259019 + 0.0991586i
\(638\) 0.298114 0.0118025
\(639\) 45.7448 + 31.1882i 1.80963 + 1.23379i
\(640\) 0.503196 + 0.466898i 0.0198906 + 0.0184558i
\(641\) 9.82875 + 25.0433i 0.388212 + 0.989149i 0.982726 + 0.185064i \(0.0592492\pi\)
−0.594514 + 0.804085i \(0.702656\pi\)
\(642\) 0.232699 0.0717781i 0.00918389 0.00283286i
\(643\) −3.94546 17.2862i −0.155594 0.681700i −0.991200 0.132372i \(-0.957741\pi\)
0.835607 0.549328i \(-0.185116\pi\)
\(644\) −10.0561 1.85907i −0.396264 0.0732575i
\(645\) −8.56544 + 37.5276i −0.337264 + 1.47765i
\(646\) 0.00875101 + 0.116774i 0.000344304 + 0.00459441i
\(647\) 9.68024 + 2.98596i 0.380570 + 0.117390i 0.479137 0.877740i \(-0.340950\pi\)
−0.0985673 + 0.995130i \(0.531426\pi\)
\(648\) −0.0519513 + 0.693242i −0.00204084 + 0.0272331i
\(649\) 16.9408 43.1646i 0.664986 1.69436i
\(650\) −0.00534138 + 0.00257227i −0.000209506 + 0.000100893i
\(651\) −5.97976 + 55.1493i −0.234365 + 2.16147i
\(652\) −2.00070 0.963487i −0.0783535 0.0377331i
\(653\) −26.1321 + 24.2470i −1.02263 + 0.948859i −0.998706 0.0508546i \(-0.983806\pi\)
−0.0239210 + 0.999714i \(0.507615\pi\)
\(654\) −0.359776 + 0.0542275i −0.0140684 + 0.00212046i
\(655\) −26.8417 + 46.4912i −1.04879 + 1.81656i
\(656\) −11.7670 20.3810i −0.459423 0.795745i
\(657\) 56.6219 + 71.0016i 2.20903 + 2.77003i
\(658\) −0.0132895 0.000441463i −0.000518079 1.72100e-5i
\(659\) 24.8564 31.1689i 0.968268 1.21417i −0.00852102 0.999964i \(-0.502712\pi\)
0.976789 0.214205i \(-0.0687162\pi\)
\(660\) −88.4088 13.3255i −3.44131 0.518694i
\(661\) −9.52798 + 6.49606i −0.370595 + 0.252668i −0.734269 0.678859i \(-0.762475\pi\)
0.363673 + 0.931527i \(0.381522\pi\)
\(662\) −0.0878895 + 0.0599220i −0.00341592 + 0.00232894i
\(663\) 10.5456 + 1.58950i 0.409559 + 0.0617311i
\(664\) 0.227343 0.285079i 0.00882261 0.0110632i
\(665\) −22.1903 + 9.79249i −0.860503 + 0.379737i
\(666\) −0.0437705 0.0548865i −0.00169607 0.00212681i
\(667\) 5.38016 + 9.31872i 0.208321 + 0.360822i
\(668\) 6.12052 10.6011i 0.236810 0.410167i
\(669\) −56.0056 + 8.44149i −2.16530 + 0.326367i
\(670\) −0.240791 + 0.223422i −0.00930258 + 0.00863154i
\(671\) −61.5274 29.6300i −2.37524 1.14385i
\(672\) −0.765634 + 0.485569i −0.0295350 + 0.0187312i
\(673\) 9.27819 4.46814i 0.357648 0.172234i −0.246428 0.969161i \(-0.579257\pi\)
0.604076 + 0.796927i \(0.293542\pi\)
\(674\) 0.0454669 0.115848i 0.00175132 0.00446229i
\(675\) 0.625857 8.35148i 0.0240892 0.321449i
\(676\) −1.91107 0.589486i −0.0735026 0.0226726i
\(677\) −1.40020 18.6844i −0.0538141 0.718099i −0.957229 0.289331i \(-0.906567\pi\)
0.903415 0.428767i \(-0.141052\pi\)
\(678\) −0.0906067 + 0.396974i −0.00347973 + 0.0152457i
\(679\) −4.48248 + 10.3926i −0.172022 + 0.398832i
\(680\) −0.0643193 0.281801i −0.00246653 0.0108066i
\(681\) 14.8815 4.59034i 0.570261 0.175902i
\(682\) −0.129545 0.330075i −0.00496053 0.0126392i
\(683\) −33.5701 31.1485i −1.28452 1.19186i −0.970134 0.242571i \(-0.922009\pi\)
−0.314391 0.949294i \(-0.601800\pi\)
\(684\) 44.7377 + 30.5017i 1.71059 + 1.16626i
\(685\) 45.8828 1.75309
\(686\) 0.161887 + 0.0412019i 0.00618086 + 0.00157310i
\(687\) 28.5782 1.09033
\(688\) 16.8911 + 11.5162i 0.643968 + 0.439050i
\(689\) −3.15528 2.92768i −0.120207 0.111536i
\(690\) 0.0479610 + 0.122203i 0.00182584 + 0.00465217i
\(691\) −28.8391 + 8.89570i −1.09709 + 0.338408i −0.789898 0.613238i \(-0.789866\pi\)
−0.307195 + 0.951647i \(0.599390\pi\)
\(692\) −1.00201 4.39007i −0.0380905 0.166886i
\(693\) 43.6949 101.307i 1.65983 3.84832i
\(694\) 0.0399695 0.175118i 0.00151722 0.00664738i
\(695\) −2.63191 35.1205i −0.0998342 1.33219i
\(696\) 0.607713 + 0.187455i 0.0230353 + 0.00710545i
\(697\) −1.48117 + 19.7649i −0.0561034 + 0.748648i
\(698\) −0.0166104 + 0.0423226i −0.000628712 + 0.00160193i
\(699\) 22.9320 11.0435i 0.867367 0.417702i
\(700\) 2.93700 1.86266i 0.111008 0.0704020i
\(701\) −0.915249 0.440761i −0.0345685 0.0166473i 0.416520 0.909127i \(-0.363250\pi\)
−0.451088 + 0.892479i \(0.648964\pi\)
\(702\) −0.0842475 + 0.0781703i −0.00317972 + 0.00295035i
\(703\) −4.22299 + 0.636513i −0.159273 + 0.0240066i
\(704\) −23.7401 + 41.1190i −0.894738 + 1.54973i
\(705\) −2.09802 3.63387i −0.0790159 0.136860i
\(706\) 0.0374390 + 0.0469470i 0.00140904 + 0.00176687i
\(707\) −8.52904 + 3.76383i −0.320768 + 0.141553i
\(708\) 30.8375 38.6690i 1.15894 1.45327i
\(709\) −37.5601 5.66127i −1.41060 0.212613i −0.600836 0.799372i \(-0.705166\pi\)
−0.809762 + 0.586759i \(0.800404\pi\)
\(710\) 0.139711 0.0952531i 0.00524325 0.00357478i
\(711\) 10.8620 7.40560i 0.407358 0.277732i
\(712\) −0.246438 0.0371445i −0.00923564 0.00139205i
\(713\) 7.97982 10.0064i 0.298847 0.374742i
\(714\) 0.254363 + 0.00844966i 0.00951929 + 0.000316220i
\(715\) −8.80362 11.0394i −0.329237 0.412850i
\(716\) 21.3841 + 37.0384i 0.799163 + 1.38419i
\(717\) 28.7665 49.8251i 1.07431 1.86075i
\(718\) −0.235926 + 0.0355601i −0.00880467 + 0.00132709i
\(719\) −18.3402 + 17.0172i −0.683973 + 0.634634i −0.943605 0.331073i \(-0.892589\pi\)
0.259632 + 0.965708i \(0.416399\pi\)
\(720\) −60.2046 28.9930i −2.24369 1.08050i
\(721\) 0.253819 2.34089i 0.00945272 0.0871793i
\(722\) 0.0336782 0.0162186i 0.00125337 0.000603592i
\(723\) 0.446253 1.13703i 0.0165963 0.0422867i
\(724\) 2.32782 31.0626i 0.0865126 1.15443i
\(725\) −3.49684 1.07863i −0.129869 0.0400594i
\(726\) 0.0517345 + 0.690349i 0.00192005 + 0.0256212i
\(727\) 11.0664 48.4853i 0.410432 1.79822i −0.171728 0.985144i \(-0.554935\pi\)
0.582160 0.813074i \(-0.302208\pi\)
\(728\) −0.0938633 0.0173525i −0.00347880 0.000643128i
\(729\) −3.18786 13.9669i −0.118069 0.517293i
\(730\) 0.265037 0.0817531i 0.00980946 0.00302582i
\(731\) −6.29023 16.0272i −0.232653 0.592789i
\(732\) −53.3957 49.5440i −1.97356 1.83120i
\(733\) 38.0095 + 25.9144i 1.40391 + 0.957172i 0.999085 + 0.0427788i \(0.0136211\pi\)
0.404828 + 0.914393i \(0.367331\pi\)
\(734\) 0.293675 0.0108397
\(735\) 15.9598 + 50.2406i 0.588686 + 1.85315i
\(736\) 0.209177 0.00771038
\(737\) −75.1006 51.2027i −2.76637 1.88608i
\(738\) −0.273291 0.253577i −0.0100600 0.00933428i
\(739\) 9.51257 + 24.2376i 0.349925 + 0.891595i 0.992147 + 0.125076i \(0.0399176\pi\)
−0.642222 + 0.766519i \(0.721987\pi\)
\(740\) 5.03652 1.55356i 0.185146 0.0571100i
\(741\) 2.71548 + 11.8973i 0.0997558 + 0.437059i
\(742\) −0.0829016 0.0606488i −0.00304341 0.00222649i
\(743\) 3.43015 15.0285i 0.125840 0.551340i −0.872222 0.489110i \(-0.837322\pi\)
0.998062 0.0622302i \(-0.0198213\pi\)
\(744\) −0.0565287 0.754323i −0.00207244 0.0276548i
\(745\) 30.4646 + 9.39709i 1.11614 + 0.344283i
\(746\) 0.00110387 0.0147301i 4.04155e−5 0.000539308i
\(747\) −25.9367 + 66.0857i −0.948975 + 2.41795i
\(748\) 36.0307 17.3515i 1.31741 0.634432i
\(749\) −21.3260 7.36205i −0.779234 0.269004i
\(750\) 0.265765 + 0.127986i 0.00970436 + 0.00467337i
\(751\) 19.1390 17.7584i 0.698392 0.648013i −0.248846 0.968543i \(-0.580051\pi\)
0.947238 + 0.320530i \(0.103861\pi\)
\(752\) −2.20361 + 0.332141i −0.0803574 + 0.0121119i
\(753\) 11.8015 20.4408i 0.430070 0.744902i
\(754\) 0.0251087 + 0.0434896i 0.000914406 + 0.00158380i
\(755\) −18.7844 23.5548i −0.683633 0.857249i
\(756\) 43.7627 51.2866i 1.59164 1.86528i
\(757\) −27.4397 + 34.4083i −0.997313 + 1.25059i −0.0293321 + 0.999570i \(0.509338\pi\)
−0.967981 + 0.251022i \(0.919233\pi\)
\(758\) 0.141211 + 0.0212841i 0.00512901 + 0.000773074i
\(759\) −30.0142 + 20.4633i −1.08945 + 0.742772i
\(760\) 0.273276 0.186316i 0.00991275 0.00675840i
\(761\) 24.2964 + 3.66209i 0.880743 + 0.132751i 0.573818 0.818983i \(-0.305462\pi\)
0.306925 + 0.951734i \(0.400700\pi\)
\(762\) 0.0914941 0.114730i 0.00331448 0.00415623i
\(763\) 29.8678 + 15.6257i 1.08129 + 0.565690i
\(764\) 3.89827 + 4.88828i 0.141035 + 0.176852i
\(765\) 28.1387 + 48.7377i 1.01736 + 1.76212i
\(766\) 0.0459882 0.0796539i 0.00166162 0.00287801i
\(767\) 7.72379 1.16417i 0.278890 0.0420359i
\(768\) −37.1199 + 34.4423i −1.33945 + 1.24283i
\(769\) 17.0429 + 8.20743i 0.614583 + 0.295968i 0.715159 0.698962i \(-0.246354\pi\)
−0.100576 + 0.994929i \(0.532069\pi\)
\(770\) −0.239261 0.237263i −0.00862238 0.00855037i
\(771\) −45.4774 + 21.9007i −1.63783 + 0.788736i
\(772\) −1.27524 +